Abstract

In this paper, the expressions of variations of the dynamical ellipticity and the principal moments of inertia due to the deformations produced by the zonal part of the tidal potential are obtained. Starting from these expressions, we have studied from equations related to Hamiltonian theory, their effects on the nutation and finally we have evaluated numerically such influences, with a level of truncation at 0.1 mu as. Thus we have shown that some coefficients are quite large with respect to the usual accuracy of up-to-date observations.

Kinoshita, H. and Souchay, J.: 1990, ‘The Theory of the Nutation for the Rigid Earth Model at the Second Order’, Celest. Mech. 48, 187–265.

Kinoshita, H., Hori, G., and Nakai, H.: 1974, ‘Modified Jacobi Polynomials and its Applications to Expansions of Disturbing Functions’, Annals of the Tokyo Astronomical Observatory. Second Series XIV(1).